What is the Least Common Multiple of 65004 and 65008?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 65004 and 65008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65004 and 65008, than apply into the LCM equation.

GCF(65004,65008) = 4
LCM(65004,65008) = ( 65004 × 65008) / 4
LCM(65004,65008) = 4225780032 / 4
LCM(65004,65008) = 1056445008

Least Common Multiple (LCM) of 65004 and 65008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65004 and 65008. First we will calculate the prime factors of 65004 and 65008.

Prime Factorization of 65004

Prime Factorization of 65008

Now multiplying the highest exponent prime factors to calculate the LCM of 65004 and 65008.

LCM(65004,65008) = 2⁴ × 3¹ × 5417¹ × 17¹ × 239¹
LCM(65004,65008) = 1056445008